Finite element error analysis of a variational multiscale method for the Navier-Stokes equations

Volker, John; KAYA MERDAN, SONGÜL

doi:10.1007/s10444-005-9010-z

Finite element error analysis of a variational multiscale method for the Navier-Stokes equations

Volker J., KAYA MERDAN S.

ADVANCES IN COMPUTATIONAL MATHEMATICS, cilt.28, sa.1, ss.43-61, 2008 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 28 Sayı: 1
Basım Tarihi: 2008
Doi Numarası: 10.1007/s10444-005-9010-z
Dergi Adı: ADVANCES IN COMPUTATIONAL MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.43-61
Anahtar Kelimeler: variational multiscale method, finite element method, error analysis, incompressible Navier-Stokes equations, APPROXIMATION
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The paper presents finite element error estimates of a variational multiscale method (VMS) for the incompressible Navier-Stokes equations. The constants in these estimates do not depend on the Reynolds number but on a reduced Reynolds number or on the mesh size of a coarse mesh.